The former Reds manager remains under contract at Anfield despite leaving the club, creating a financial hurdle for the Royal Dutch Football Association (KNVB) as it looks for Ronald Koeman's successor.
Dutch newspaper De Telegraaf reports that Liverpool are willing to cover part of Slot's salary package, reducing the burden on the KNVB and increasing the chances of an agreement being reached.
Slot, 47, is understood to have around €11 million still owed under the terms of his Liverpool contract, which runs until next year. That figure is well beyond the budget available to the Dutch federation for its next national team coach.
Rather than insisting on a full settlement, Liverpool are said to be prepared to continue paying part of the outstanding amount, with the KNVB contributing the remainder of Slot's salary. Such an arrangement would allow the Premier League club to reduce its overall financial commitment while giving the Dutchman the opportunity to return to management sooner than expected.
The report claims Liverpool view the proposal as a practical solution that benefits all parties. Slot would secure an immediate return to the dugout, the KNVB would gain its preferred candidate without stretching its finances beyond their limits, and the Reds would lower the cost of honouring the remainder of his contract.
Koeman's eventual departure from the Netherlands role has prompted the federation to begin planning for a successor, with Slot emerging as the leading option following his successful spell at Feyenoord and subsequent move to Liverpool.
While no agreement has yet been finalised, discussions are believed to be progressing as the Dutch federation explores ways of making the appointment financially viable.
Neither Liverpool nor the KNVB has commented publicly on the report.